There is a cuboid whose dimensions are 4 × 3 × 3 cm. The opposite faces of dimensions 4 × 3 are coloured yellow. The opposite faces of other dimensions 4 × 3 are coloured red. The opposite faces of dimensions 3 × 3 are coloured green. Now the cuboid is cut into small cubes of side 1 cm. How many small cubes have three faces coloured?

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  1. 16
  2. 8
  3. 20
  4. 12

Answer (Detailed Solution Below)

Option 2 : 8
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Given:

There is a cuboid whose dimensions are 4 × 3 × 3 cm.

The opposite faces of dimensions 4 × 3 are coloured yellow.

The opposite faces of other dimensions 4 × 3 are coloured red.

The opposite faces of dimensions 3 × 3 are coloured green. 

The number of cuboids with three faces painted is always 8

Hence, "8" is the correct answer.
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